Hi! I have a problem in my function, Error in MATLAB

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Use Wellis product= pi/2=2/1∗2/3∗4/3∗4/5∗6/5∗ … in a function in MATLAB that receives the relative error willing to accept and return the user a vector with all values of π and other vector estimated with relative errors associated with each value of π. (This is in arrays). Thanks a lot. But, MATLAB gives me an error:
Attempted to access ret(0); index must be a positive integer or logical.
Error in pi_value (line 13)
ret(i) = 2 * (ret(i - 1) / 2) * temp;
The function is the following:
function[e, ret] = pi_value(err)
ret = [4];
value = 0;
e = inf;
i = 1;
while e > err
++i;
temp = 0;
if mod(i, 2) == 0
temp = i / (i + 1);
else
temp = (i + 1) / i;
end
ret(i) = 2 * (ret(i - 1) / 2) * temp;
e = abs(ret(i) - ret(i - 1));
end
end
Thanks a lot!
  2 个评论
dpb
dpb 2016-10-30
What is index of the RH ret value in
ret(i) = 2*(ret(i-1)/2)*temp;
?? Matlab arrays, as the error message says, only begin at 1. You'll have to special-case the end condition to avoid explicitly referencing a 'zeroth' element.
Also, note that numerically the expression as written above is simply
ret(i) = ret(i-1)*temp;
the two 2's cancel each other out...
John D'Errico
John D'Errico 2016-10-30
Not that the code as posted is NOT valid MATLAB syntax.
++i;
NOT in MATLAB.

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采纳的回答

KSSV
KSSV 2016-10-31
function[e, ret] = pi_value(err)
ret = 4;
e = inf;
i = 1;
while e > err
i = i+1 ;
if mod(i, 2) == 0
temp = i / (i + 1);
else
temp = (i + 1) / i;
end
ret(i) = 2 * (ret(i - 1) / 2) * temp;
e = abs(ret(i) - ret(i - 1));
end
end

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